2956669933009 has 27 divisors (see below), whose sum is σ = 3316535259219. Its totient is φ = 2634544523520.

The previous prime is 2956669932991. The next prime is 2956669933027. The reversal of 2956669933009 is 9003399666592.

The square root of 2956669933009 is 1719497.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2956669932991) and next prime (2956669933027).

It can be written as a sum of positive squares in 13 ways, for example, as 2774573147025 + 182096785984 = 1665705^2 + 426728^2 .

It is not a de Polignac number, because 2956669933009 - 2¹⁵ = 2956669900241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2956669933409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 648248089 + ... + 648252649.

Almost surely, 2^{2956669933009} is an apocalyptic number.

2956669933009 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2956669933009 is the 1719497-th square number.

2956669933009 is the 859749-th centered octagonal number.

It is an amenable number.

2956669933009 is a deficient number, since it is larger than the sum of its proper divisors (359865326210).

2956669933009 is an frugal number, since it uses more digits than its factorization.

2956669933009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9206 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 127545840, while the sum is 67.

The spelling of 2956669933009 in words is "two trillion, nine hundred fifty-six billion, six hundred sixty-nine million, nine hundred thirty-three thousand, nine".